The Cauchy-Riemann
equations are special in the sense that the unique continuation property yields an \(\mathbb {R}\) -flow on \(\mathcal {S}(\mathcal {N})\) , cf. [1]}, [2]}.
This induced \(\mathbb {R}\) -flow on \(\mathcal {S}_{\epsilon ,h}(\mathcal {N})\)  is denoted by \(\phi _{\epsilon ,h}\) .
In the case \(\epsilon =0\)  we write \(\mathcal {W}(\mathcal {N})\)  and \(\phi \colon \mathbb {R}\times \mathcal {S}(\mathcal {N}) \rightarrow \mathcal {S}(\mathcal {N})\) 
for the set of bounded solutions and the induced \(\mathbb {R}\) -flow, respectively.
